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Simplifying -4(2y + 2) + -10 = -6(y + 4) + 2y Reorder the terms: -4(2 + 2y) + -10 = -6(y + 4) + 2y (2 * -4 + 2y * -4) + -10 = -6(y + 4) + 2y (-8 + -8y) + -10 = -6(y + 4) + 2y Reorder the terms: -8 + -10 + -8y = -6(y + 4) + 2y Combine like terms: -8 + -10 = -18 -18 + -8y = -6(y + 4) + 2y Reorder the terms: -18 + -8y = -6(4 + y) + 2y -18 + -8y = (4 * -6 + y * -6) + 2y -18 + -8y = (-24 + -6y) + 2y Combine like terms: -6y + 2y = -4y -18 + -8y = -24 + -4y Solving -18 + -8y = -24 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -18 + -8y + 4y = -24 + -4y + 4y Combine like terms: -8y + 4y = -4y -18 + -4y = -24 + -4y + 4y Combine like terms: -4y + 4y = 0 -18 + -4y = -24 + 0 -18 + -4y = -24 Add '18' to each side of the equation. -18 + 18 + -4y = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -4y = -24 + 18 -4y = -24 + 18 Combine like terms: -24 + 18 = -6 -4y = -6 Divide each side by '-4'. y = 1.5 Simplifying y = 1.5
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